Article
Keywords:
pure quotient; pure subobject; locally presentable category; semi-abelian category; abelian category
Summary:
References:
[1] J. Adámek and J. Rosický:
Locally Presentable and Accessible Categories. Cambridge Univ. Press, Cambridge, 1994.
MR 1294136
[2] D. Bourn:
Normal subobjects and abelian objects in protomodular categories. J. Algebra 228 (2000), 143–164.
MR 1760960 |
Zbl 0969.18008
[3] S. Fakir:
Objects algébraiquement clos et injectifs dans les catégories localement présentables. Bull. Soc. Math. France 42 (1975).
MR 0401879
[4] G. Janelidze, S. Márki and W. Tholen:
Semi-abelian categories. 168 (2002), 367–386.
MR 1887164
[6] M. Makkai and R. Paré:
Accessible categories: The foundations of categorical model theory. Contemp. Math. Vol. 104, Amer. Math. Soc., Providence, 1989.
MR 1031717
[7] P. Rothmaler:
Purity in model theory. In: Advances in Algebra and Model Theory, M. Droste and R. Göbel (eds.), Gordon and Breach, , 1997, pp. 445–469.
MR 1687736 |
Zbl 0931.03055